\[\boxed{\mathbf{3.191}}\]
\[S = \pi r^{2} \cdot \frac{3}{8} = 3,14 \cdot 12^{2} \cdot \frac{3}{8} =\]
\[= 3,14 \cdot 144 \cdot \frac{3}{8} =\]
\[= \frac{314 \cdot 144 \cdot 3}{8 \cdot 100} = \frac{314 \cdot 18 \cdot 3}{100} =\]
\[= \frac{314 \cdot 54}{100} = \frac{16956}{100} =\]
\[= 169,56\ \left( см^{2} \right) -\]
\[площадь\ \frac{3}{8}\ круга.\]
\[Ответ:\ 169,56\ см^{2}.\]